Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant
preprintposted on 15.02.2006, 13:15 by J. Podolsky, Jerry Griffiths
Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a 'cut and paste' method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds. The metrics are presented in continuous and distributional forms, both of which are conformal to the corresponding metrics for impulsive pp-waves, and for which the limit as Lambda-->0 can be made explicitly.
- Mathematical Sciences